75r^2-48=0

Solution for 75r^2-48=0 equation:

Simplifying
75r2 + -48 = 0

Reorder the terms:
-48 + 75r2 = 0

Solving
-48 + 75r2 = 0

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '48' to each side of the equation.
-48 + 48 + 75r2 = 0 + 48

Combine like terms: -48 + 48 = 0
0 + 75r2 = 0 + 48
75r2 = 0 + 48

Combine like terms: 0 + 48 = 48
75r2 = 48

Divide each side by '75'.
r2 = 0.64

Simplifying
r2 = 0.64

Take the square root of each side:
r = {-0.8, 0.8}